IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v56y2005i12d10.1057_palgrave.jors.2601960.html
   My bibliography  Save this article

A note on an L-approach for solving the manufacturer's pallet loading problem

Author

Listed:
  • E G Birgin

    (University of São Paulo)

  • R Morabito

    (Federal University of São Carlos)

  • F H Nishihara

    (University of São Paulo)

Abstract

An L-approach for packing (l, w)-rectangles into an (L, W)-rectangle was introduced in an earlier work by Lins, Lins and Morabito. They conjecture that the L-approach is exact and point out its runtime requirements as the main drawback. In this note it is shown that, by simply using a different data structure, the runtime is considerably reduced in spite of larger (but affordable) memory requirements. This reduction is important for practical purposes since it makes the algorithm much more acceptable for supporting actual decisions in pallet loading. Intensive numerical experiments showing the efficiency and effectiveness of the algorithm are presented.

Suggested Citation

  • E G Birgin & R Morabito & F H Nishihara, 2005. "A note on an L-approach for solving the manufacturer's pallet loading problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(12), pages 1448-1451, December.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:12:d:10.1057_palgrave.jors.2601960
    DOI: 10.1057/palgrave.jors.2601960
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2601960
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2601960?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dowsland, Kathryn A., 1987. "An exact algorithm for the pallet loading problem," European Journal of Operational Research, Elsevier, vol. 31(1), pages 78-84, July.
    2. L Lins & S Lins & R Morabito, 2003. "An L-approach for packing (ℓ, w)-rectangles into rectangular and L-shaped pieces," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 777-789, July.
    3. Morabito, Reinaldo & Morales, Silvia Regina & Widmer, João Alexandre, 2000. "Loading optimization of palletized products on trucks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 36(4), pages 285-296, December.
    4. R Morabito & S Morales, 1998. "A simple and effective recursive procedure for the manufacturer's pallet loading problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 819-828, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Martins, Gustavo H.A. & Dell, Robert F., 2007. "The minimum size instance of a Pallet Loading Problem equivalence class," European Journal of Operational Research, Elsevier, vol. 179(1), pages 17-26, May.
    2. E G Birgin & R D Lobato & R Morabito, 2010. "An effective recursive partitioning approach for the packing of identical rectangles in a rectangle," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 306-320, February.
    3. Wei, Lijun & Hu, Qian & Lim, Andrew & Liu, Qiang, 2018. "A best-fit branch-and-bound heuristic for the unconstrained two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 270(2), pages 448-474.
    4. Adamos Daios & Nikolaos Kladovasilakis & Ioannis Kostavelis, 2024. "Mixed Palletizing for Smart Warehouse Environments: Sustainability Review of Existing Methods," Sustainability, MDPI, vol. 16(3), pages 1-15, February.
    5. Lu, Yiping & Cha, Jianzhong, 2014. "A fast algorithm for identifying minimum size instances of the equivalence classes of the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 237(3), pages 794-801.
    6. G M Ribeiro & L A N Lorena, 2008. "Optimizing the woodpulp stowage using Lagrangean relaxation with clusters," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 600-606, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. E G Birgin & R D Lobato & R Morabito, 2010. "An effective recursive partitioning approach for the packing of identical rectangles in a rectangle," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 306-320, February.
    2. E G Birgin & J M Martínez & W F Mascarenhas & D P Ronconi, 2006. "Method of sentinels for packing items within arbitrary convex regions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 735-746, June.
    3. G M Ribeiro & L A N Lorena, 2008. "Optimizing the woodpulp stowage using Lagrangean relaxation with clusters," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 600-606, May.
    4. L Lins & S Lins & R Morabito, 2003. "An L-approach for packing (ℓ, w)-rectangles into rectangular and L-shaped pieces," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 777-789, July.
    5. Lins, Lauro & Lins, Sostenes & Morabito, Reinaldo, 2002. "An n-tet graph approach for non-guillotine packings of n-dimensional boxes into an n-container," European Journal of Operational Research, Elsevier, vol. 141(2), pages 421-439, September.
    6. Martins, Gustavo H.A. & Dell, Robert F., 2008. "Solving the pallet loading problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 429-440, January.
    7. Lu, Yiping & Cha, Jianzhong, 2014. "A fast algorithm for identifying minimum size instances of the equivalence classes of the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 237(3), pages 794-801.
    8. Martins, Gustavo H.A. & Dell, Robert F., 2007. "The minimum size instance of a Pallet Loading Problem equivalence class," European Journal of Operational Research, Elsevier, vol. 179(1), pages 17-26, May.
    9. Wei, Lijun & Hu, Qian & Lim, Andrew & Liu, Qiang, 2018. "A best-fit branch-and-bound heuristic for the unconstrained two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 270(2), pages 448-474.
    10. M. T. Alonso & R. Alvarez-Valdes & F. Parreño, 2020. "A GRASP algorithm for multi container loading problems with practical constraints," 4OR, Springer, vol. 18(1), pages 49-72, March.
    11. Sándor P. Fekete & Jörg Schepers, 2004. "A Combinatorial Characterization of Higher-Dimensional Orthogonal Packing," Mathematics of Operations Research, INFORMS, vol. 29(2), pages 353-368, May.
    12. Letchford, Adam N. & Amaral, Andre, 2001. "Analysis of upper bounds for the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 132(3), pages 582-593, August.
    13. Gregory S. Taylor & Yupo Chan & Ghulam Rasool, 2017. "A three-dimensional bin-packing model: exact multicriteria solution and computational complexity," Annals of Operations Research, Springer, vol. 251(1), pages 397-427, April.
    14. Cochran, Jeffery K. & Ramanujam, Balaji, 2006. "Carrier-mode logistics optimization of inbound supply chains for electronics manufacturing," International Journal of Production Economics, Elsevier, vol. 103(2), pages 826-840, October.
    15. Novas, Juan M. & Ramello, Juan Ignacio & Rodríguez, María Analía, 2020. "Generalized disjunctive programming models for the truck loading problem: A case study from the non-alcoholic beverages industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    16. Neli[beta]en, Josef, 1995. "How to use structural constraints to compute an upper bound for the pallet loading problem," European Journal of Operational Research, Elsevier, vol. 84(3), pages 662-680, August.
    17. Arenales, Marcos & Morabito, Reinaldo, 1995. "An AND/OR-graph approach to the solution of two-dimensional non-guillotine cutting problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 599-617, August.
    18. Feng, Enmin & Wang, Xilu & Wang, Xiumei & Teng, Hongfei, 1999. "An algorithm of global optimization for solving layout problems," European Journal of Operational Research, Elsevier, vol. 114(2), pages 430-436, April.
    19. Jéssica Gabriela Almeida Cunha & Vinícius Loti de Lima & Thiago Alves Queiroz, 2020. "Grids for cutting and packing problems: a study in the 2D knapsack problem," 4OR, Springer, vol. 18(3), pages 293-339, September.
    20. Alonso, M.T. & Alvarez-Valdes, R. & Iori, M. & Parreño, F. & Tamarit, J.M., 2017. "Mathematical models for multicontainer loading problems," Omega, Elsevier, vol. 66(PA), pages 106-117.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pal:jorsoc:v:56:y:2005:i:12:d:10.1057_palgrave.jors.2601960. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.